Faculty Works, Department of Mathematics
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Research articles, presentations, and other scholarship
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Bridging Frameworks for Understanding Numerical Cognition
(LeibnizInstitute for Psychology Information (ZPID), 20180607) 
A note on best approximation and invertibility of operators on uniformly convex Banach spaces
(Hindawi Publishing Corp, 19910101)It is shown that if X is a uniformly convex Banach space and S a bounded linear operator onX for which ?IS?=1, then S is invertible if and only if ?I12S? <1. From this it follows thatif S is invertible on X then either ... 
Editorial: Integrative Computational Systems Biology Approaches in Immunology and Medicine
(Frontiers, 20190123) 
Disrupting Mosquito Reproduction and Parasite Development for Malaria Control
(PLOS, 20161215)The control of mosquito populations with insecticide treated bed nets and indoor residual sprays remains the cornerstone of malaria reduction and elimination programs. In light of widespread insecticide resistance in ... 
Antibody Responses during Hepatitis B Viral Infection
(PLOS, 201407)Hepatitis B is a DNA virus that infects liver cells and can cause both acute and chronic disease. It is believed that both viral and host factors are responsible for determining whether the infection is cleared or becomes ... 
Mathematical Models of EAntigen Mediated Immune Tolerance and Activation following Prenatal HBV Infection
(PLOS, 20120702)We develop mathematical models for the role of hepatitis B eantigen in creating immunological tolerance during hepatitis B virus infection and propose mechanisms for hepatitis B eantigen clearance, subsequent emergence ... 
An introduction to compartmental modeling for the budding infectious disease modeler
(Taylor & Francis, 20180816)Mathematical models are ubiquitous in the study of the transmission dynamics of infectious diseases, In particular, the classic ‘susceptibleinfectiousrecovered’ (SIR) paradigm provides a modeling framework that can be ... 
Modeling the Mechanisms by Which HIV Associated Immunosuppression Influences HPV Persistence at the Oral Mucosa
(PLOS, 20170106)Human immunodeficiency virus (HIV)infected patients are at an increased risk of coinfection with human papilloma virus (HPV), and subsequent malignancies such as oral cancer. To determine the role of HIVassociated immune ... 
A Bistable Switch in Virus Dynamics Can Explain the Differences in Disease Outcome Following SIV Infections in Rhesus Macaques
(Frontiers, 20180606)Experimental studies have shown that the size and infectiousstage of viral inoculum influence disease outcomes in rhesus macaques infected with simian immunodeficiency virus. The possible contribution to disease outcome ... 
Existence Theorems on Solvability of Constrained Inclusion Problems and Applications
(Hindawi, 20180712)Let 𝑋 be a real locally uniformly convex reflexive Banach space with locally uniformly convex dual space 𝑋∗. Let𝑇 : 𝑋 ⊇ 𝐷(𝑇) → 2𝑋∗ be a maximal monotone operator and 𝐶 : 𝑋 ⊇ 𝐷(𝐶) → 𝑋∗ be bounded and continuous ... 
Randomized Approach to Nonlinear Inversion Combining Simultaneous Random and Optimized Sources and Detectors
In partial differential equationsbased inverse problems with many measurements, we have to solve many large linear system for each evaluation of the objective function. In the nonlinear case, each evaluation of the Jacobian ... 
Interpolatory Model Reduction of Parameterized Bilinear Dynamical Systems
Interpolatory projection methods for model reduction of nonparametric linear dynamical systems have been successfully extended to nonparametric bilinear dynamical systems. However, this is not the case for parametric ... 
Damping optimization of parameter dependent mechanical systems by rational interpolation
We consider an optimization problem related to semiactive damping of vibrating systems. The main problem is to determine the best damping matrix able to minimize influence of the input on the output of the system. We use ... 
Datadriven structured realization
(Elsevier Science Inc, 20180115) 
COMPUTING REDUCED ORDER MODELS VIA INNEROUTER KRYLOV RECYCLING IN DIFFUSE OPTICAL TOMOGRAPHY
(Siam Publications, 20170101) 
$\mathcal H_2$QuasiOptimal Model Order Reduction for QuadraticBilinear Control Systems
We investigate the optimal model reduction problem for largescale quadraticbilinear (QB) control systems. Our contributions are threefold. First, we discuss the variational analysis and the Volterra series formulation ... 
Model Reduction for DAEs with an Application to Flow Control
(SpringerVerlag Berlin, 20150101) 
GPUaccelerated discontinuous Galerkin methods on hybrid meshes
(Academic Press Inc Elsevier Science, 20160801) 
Acceleration of tensorproduct operations for highorder finite element methods
This paper is devoted to GPU kernel optimization and performance analysis of three tensorproduct operators arising in finite element methods. We provide a mathematical background to these operations and implementation ...